具有几乎非负数量曲率的扭曲环面
微分几何
2023-06-27 v4 度量几何
摘要
对于 -环面上满足数量曲率界 、一致体积与直径上界、以及最小极小曲面面积一致下界的扭曲积度量序列，我们找到一个子列，该子列在 Gromov-Hausdorff 意义与 Sormani-Wenger 内禀平坦意义下均收敛到一个平坦的 -环面。
引用
@article{arxiv.1804.04581,
title = {Warped Tori with Almost Non-Negative Scalar Curvature},
author = {Brian Allen and Lisandra Hernandez-Vazquez and Davide Parise and Alec Payne and Shengwen Wang},
journal= {arXiv preprint arXiv:1804.04581},
year = {2023}
}
备注
15 pages. We correct and simplify the argument for Theorem 0.3. The statements of the main theorems have not changed